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What is the lower quartile of the following set of scores. 12, 9, 4, 6, 5, 8, 9, 4, 10, 2

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Answer:

1

Step-by-step explanation:

The lower quartile of the given data set is 4.

What is lower quartile?

The lower quartile is the value under which 25% of data points are found when they are arranged in increasing order.

How to find the lower quartile of even terms?

If number of terms is even. Divide the rank ordered data set into four equal parts. The values that divide each part are called first , second and third quartiles.

  • The median will be the middle quartile..
  • Lower quartile is the "middle" value in the first half of the rank ordered set.
  • Upper quartile is the "middle" value in the second half of the rank-ordered data set.

According to the given question

We have a set of scores 12, 9, 4, 6, 5, 8, 9, 4, 10, 2

⇒ number of scores, N = 10

⇒ total number of scores is even

Now, the ascending order of the following set of scores is given by

2, 4, 4, 5, 6, 8, 9, 9, 10, 12

so, the middle term = [tex]\frac{6+8}{2} =7[/tex]

⇒ middle quartile = 7

Therefore, the lower quartile of the given set of scores =  [tex]\frac{4+4}{2}[/tex] =4

⇒ lower quartile = 4

Hence, the lower quartile of the given data set is 4.

Learn more about lower quartile here:

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